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Finding the Fourth Proportional to 19,687.26, 29,519.90 and 6,532.50

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Solution

The fourth proportional to 19,687.26, 29,519.90 and 6,532.50 is: 9,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.26 : 29,519.90 = 6,532.50 : x
  2. Step 2: Convert to fraction form
    19,687.26/29,519.90 = 6,532.50/x
  3. Step 3: Cross multiply
    19,687.26x = 29,519.90 × 6,532.50
  4. Step 4: Simplify right side
    19,687.26x = 192,838,746.75
  5. Step 5: Solve for x
    x = 192,838,746.75/19,687.26
  6. Step 6: Final answer
    x = 9,795.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.